Question

Prove the Following Equation​

Answer 1

Answer:

x=1

Step-by-step explanation:

$\frac{2^{x-1}+2^{x} }{2^{x+1} -2^x} =\frac{3}{2}$

By cross multiplication

2[2ˣ⁻¹+2ˣ]=3[2ˣ⁺¹-2ˣ]

2ˣ+2ˣ⁺¹=3.2ˣ⁺¹-3.2ˣ

2ˣ(1+2)=3.2ˣ(2-1)

x=1

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